Atkin-Lehner |
3- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13167j |
Isogeny class |
Conductor |
13167 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-197513334711 = -1 · 39 · 7 · 11 · 194 |
Discriminant |
Eigenvalues |
1 3- -2 7- 11- 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-693,22680] |
[a1,a2,a3,a4,a6] |
j |
-50529889873/270937359 |
j-invariant |
L |
1.7404835591874 |
L(r)(E,1)/r! |
Ω |
0.87024177959369 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4389f1 92169bk1 |
Quadratic twists by: -3 -7 |